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Simplifying (3m + -5)(4m + 9) = 0 Reorder the terms: (-5 + 3m)(4m + 9) = 0 Reorder the terms: (-5 + 3m)(9 + 4m) = 0 Multiply (-5 + 3m) * (9 + 4m) (-5(9 + 4m) + 3m * (9 + 4m)) = 0 ((9 * -5 + 4m * -5) + 3m * (9 + 4m)) = 0 ((-45 + -20m) + 3m * (9 + 4m)) = 0 (-45 + -20m + (9 * 3m + 4m * 3m)) = 0 (-45 + -20m + (27m + 12m2)) = 0 Combine like terms: -20m + 27m = 7m (-45 + 7m + 12m2) = 0 Solving -45 + 7m + 12m2 = 0 Solving for variable 'm'. Factor a trinomial. (-9 + -4m)(5 + -3m) = 0Subproblem 1
Set the factor '(-9 + -4m)' equal to zero and attempt to solve: Simplifying -9 + -4m = 0 Solving -9 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4m = 0 + 9 -4m = 0 + 9 Combine like terms: 0 + 9 = 9 -4m = 9 Divide each side by '-4'. m = -2.25 Simplifying m = -2.25Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667Solution
m = {-2.25, 1.666666667}
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